Struct bevy::math::Affine2

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#[repr(C)]
pub struct Affine2 { pub matrix2: Mat2, pub translation: Vec2, }
Expand description

A 2D affine transform, which can represent translation, rotation, scaling and shear.

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§matrix2: Mat2§translation: Vec2

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impl Affine2

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pub const ZERO: Affine2 = _

The degenerate zero transform.

This transforms any finite vector and point to zero. The zero transform is non-invertible.

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pub const IDENTITY: Affine2 = _

The identity transform.

Multiplying a vector with this returns the same vector.

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pub const NAN: Affine2 = _

All NAN:s.

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pub const fn from_cols(x_axis: Vec2, y_axis: Vec2, z_axis: Vec2) -> Affine2

Creates an affine transform from three column vectors.

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pub fn from_cols_array(m: &[f32; 6]) -> Affine2

Creates an affine transform from a [f32; 6] array stored in column major order.

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pub fn to_cols_array(&self) -> [f32; 6]

Creates a [f32; 6] array storing data in column major order.

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pub fn from_cols_array_2d(m: &[[f32; 2]; 3]) -> Affine2

Creates an affine transform from a [[f32; 2]; 3] 2D array stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

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pub fn to_cols_array_2d(&self) -> [[f32; 2]; 3]

Creates a [[f32; 2]; 3] 2D array storing data in column major order. If you require data in row major order transpose the matrix first.

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pub fn from_cols_slice(slice: &[f32]) -> Affine2

Creates an affine transform from the first 6 values in slice.

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Panics if slice is less than 6 elements long.

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pub fn write_cols_to_slice(self, slice: &mut [f32])

Writes the columns of self to the first 6 elements in slice.

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Panics if slice is less than 6 elements long.

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pub fn from_scale(scale: Vec2) -> Affine2

Creates an affine transform that changes scale. Note that if any scale is zero the transform will be non-invertible.

Examples found in repository?
examples/asset/repeated_texture.rs (line 60)
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fn setup(
    mut commands: Commands,
    asset_server: Res<AssetServer>,
    mut meshes: ResMut<Assets<Mesh>>,
    mut materials: ResMut<Assets<StandardMaterial>>,
) {
    let image_with_default_sampler =
        asset_server.load("textures/fantasy_ui_borders/panel-border-010.png");

    // central cube with not repeated texture
    commands.spawn(PbrBundle {
        mesh: meshes.add(Cuboid::new(1.0, 1.0, 1.0)),
        material: materials.add(StandardMaterial {
            base_color_texture: Some(image_with_default_sampler.clone()),
            ..default()
        }),
        transform: Transform::from_translation(Vec3::ZERO),
        ..default()
    });

    // left cube with repeated texture
    commands.spawn(PbrBundle {
        mesh: meshes.add(Cuboid::new(1.0, 1.0, 1.0)),
        material: materials.add(StandardMaterial {
            base_color_texture: Some(asset_server.load_with_settings(
                "textures/fantasy_ui_borders/panel-border-010-repeated.png",
                |s: &mut _| {
                    *s = ImageLoaderSettings {
                        sampler: ImageSampler::Descriptor(ImageSamplerDescriptor {
                            // rewriting mode to repeat image,
                            address_mode_u: ImageAddressMode::Repeat,
                            address_mode_v: ImageAddressMode::Repeat,
                            ..default()
                        }),
                        ..default()
                    }
                },
            )),

            // uv_transform used here for proportions only, but it is full Affine2
            // that's why you can use rotation and shift also
            uv_transform: Affine2::from_scale(Vec2::new(2., 3.)),
            ..default()
        }),
        transform: Transform::from_xyz(-1.5, 0.0, 0.0),
        ..default()
    });

    // right cube with scaled texture, because with default sampler
    commands.spawn(PbrBundle {
        mesh: meshes.add(Cuboid::new(1.0, 1.0, 1.0)),
        material: materials.add(StandardMaterial {
            // there is no sampler set, that's why
            // by default you see only one small image in a row/column
            // and other space is filled by image edge
            base_color_texture: Some(image_with_default_sampler),

            // uv_transform used here for proportions only, but it is full Affine2
            // that's why you can use rotation and shift also
            uv_transform: Affine2::from_scale(Vec2::new(2., 3.)),
            ..default()
        }),
        transform: Transform::from_xyz(1.5, 0.0, 0.0),
        ..default()
    });

    // light
    commands.spawn(PointLightBundle {
        point_light: PointLight {
            shadows_enabled: true,
            ..default()
        },
        transform: Transform::from_xyz(4.0, 8.0, 4.0),
        ..default()
    });
    // camera
    commands.spawn(Camera3dBundle {
        transform: Transform::from_xyz(0.0, 1.5, 4.0).looking_at(Vec3::ZERO, Vec3::Y),
        ..default()
    });
}
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pub fn from_angle(angle: f32) -> Affine2

Creates an affine transform from the given rotation angle.

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pub fn from_translation(translation: Vec2) -> Affine2

Creates an affine transformation from the given 2D translation.

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pub fn from_mat2(matrix2: Mat2) -> Affine2

Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation)

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pub fn from_mat2_translation(matrix2: Mat2, translation: Vec2) -> Affine2

Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation) and a translation vector.

Equivalent to Affine2::from_translation(translation) * Affine2::from_mat2(mat2)

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pub fn from_scale_angle_translation( scale: Vec2, angle: f32, translation: Vec2, ) -> Affine2

Creates an affine transform from the given 2D scale, rotation angle (in radians) and translation.

Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle) * Affine2::from_scale(scale)

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pub fn from_angle_translation(angle: f32, translation: Vec2) -> Affine2

Creates an affine transform from the given 2D rotation angle (in radians) and translation.

Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle)

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pub fn from_mat3(m: Mat3) -> Affine2

The given Mat3 must be an affine transform,

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pub fn from_mat3a(m: Mat3A) -> Affine2

The given Mat3A must be an affine transform,

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pub fn to_scale_angle_translation(self) -> (Vec2, f32, Vec2)

Extracts scale, angle and translation from self.

The transform is expected to be non-degenerate and without shearing, or the output will be invalid.

§Panics

Will panic if the determinant self.matrix2 is zero or if the resulting scale vector contains any zero elements when glam_assert is enabled.

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pub fn transform_point2(&self, rhs: Vec2) -> Vec2

Transforms the given 2D point, applying shear, scale, rotation and translation.

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pub fn transform_vector2(&self, rhs: Vec2) -> Vec2

Transforms the given 2D vector, applying shear, scale and rotation (but NOT translation).

To also apply translation, use Self::transform_point2() instead.

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pub fn is_finite(&self) -> bool

Returns true if, and only if, all elements are finite.

If any element is either NaN, positive or negative infinity, this will return false.

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pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

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pub fn abs_diff_eq(&self, rhs: Affine2, max_abs_diff: f32) -> bool

Returns true if the absolute difference of all elements between self and rhs is less than or equal to max_abs_diff.

This can be used to compare if two 3x4 matrices contain similar elements. It works best when comparing with a known value. The max_abs_diff that should be used used depends on the values being compared against.

For more see comparing floating point numbers.

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pub fn inverse(&self) -> Affine2

Return the inverse of this transform.

Note that if the transform is not invertible the result will be invalid.

Trait Implementations§

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impl Clone for Affine2

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fn clone(&self) -> Affine2

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for Affine2

Available on non-target_arch="spirv" only.
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fn fmt(&self, fmt: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl Default for Affine2

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fn default() -> Affine2

Returns the “default value” for a type. Read more
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impl Deref for Affine2

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type Target = Cols3<Vec2>

The resulting type after dereferencing.
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fn deref(&self) -> &<Affine2 as Deref>::Target

Dereferences the value.
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impl DerefMut for Affine2

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fn deref_mut(&mut self) -> &mut <Affine2 as Deref>::Target

Mutably dereferences the value.
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impl<'de> Deserialize<'de> for Affine2

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fn deserialize<D>( deserializer: D, ) -> Result<Affine2, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Affine2

Available on non-target_arch="spirv" only.
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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl From<Affine2> for Mat3

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fn from(m: Affine2) -> Mat3

Converts to this type from the input type.
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impl From<Affine2> for Mat3A

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fn from(m: Affine2) -> Mat3A

Converts to this type from the input type.
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impl FromReflect for Affine2
where Affine2: Any + Send + Sync, Mat2: FromReflect + TypePath + RegisterForReflection, Vec2: FromReflect + TypePath + RegisterForReflection,

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fn from_reflect(reflect: &(dyn Reflect + 'static)) -> Option<Affine2>

Constructs a concrete instance of Self from a reflected value.
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fn take_from_reflect( reflect: Box<dyn Reflect>, ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails. Read more
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impl GetTypeRegistration for Affine2
where Affine2: Any + Send + Sync, Mat2: FromReflect + TypePath + RegisterForReflection, Vec2: FromReflect + TypePath + RegisterForReflection,

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fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.
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fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
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impl Mul<Affine2> for Mat3

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine2) -> <Mat3 as Mul<Affine2>>::Output

Performs the * operation. Read more
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impl Mul<Affine2> for Mat3A

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type Output = Mat3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine2) -> <Mat3A as Mul<Affine2>>::Output

Performs the * operation. Read more
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impl Mul<Mat3> for Affine2

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat3) -> <Affine2 as Mul<Mat3>>::Output

Performs the * operation. Read more
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impl Mul<Mat3A> for Affine2

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type Output = Mat3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat3A) -> <Affine2 as Mul<Mat3A>>::Output

Performs the * operation. Read more
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impl Mul for Affine2

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type Output = Affine2

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine2) -> <Affine2 as Mul>::Output

Performs the * operation. Read more
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impl MulAssign for Affine2

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fn mul_assign(&mut self, rhs: Affine2)

Performs the *= operation. Read more
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impl PartialEq for Affine2

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fn eq(&self, rhs: &Affine2) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<'a> Product<&'a Affine2> for Affine2

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fn product<I>(iter: I) -> Affine2
where I: Iterator<Item = &'a Affine2>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Reflect for Affine2
where Affine2: Any + Send + Sync, Mat2: FromReflect + TypePath + RegisterForReflection, Vec2: FromReflect + TypePath + RegisterForReflection,

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fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value. Read more
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fn into_any(self: Box<Affine2>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.
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fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any.
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fn into_reflect(self: Box<Affine2>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
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fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a reflected value.
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fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable reflected value.
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fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object. Read more
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fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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fn try_apply( &mut self, value: &(dyn Reflect + 'static), ) -> Result<(), ApplyError>

Tries to apply a reflected value to this value. Read more
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fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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fn reflect_owned(self: Box<Affine2>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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fn reflect_partial_eq(&self, value: &(dyn Reflect + 'static)) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
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fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
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fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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impl Serialize for Affine2

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fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl Struct for Affine2
where Affine2: Any + Send + Sync, Mat2: FromReflect + TypePath + RegisterForReflection, Vec2: FromReflect + TypePath + RegisterForReflection,

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fn field(&self, name: &str) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field named name as a &dyn Reflect.
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fn field_mut(&mut self, name: &str) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field named name as a &mut dyn Reflect.
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fn field_at(&self, index: usize) -> Option<&(dyn Reflect + 'static)>

Returns a reference to the value of the field with index index as a &dyn Reflect.
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fn field_at_mut(&mut self, index: usize) -> Option<&mut (dyn Reflect + 'static)>

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.
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fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.
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fn field_len(&self) -> usize

Returns the number of fields in the struct.
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fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.
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fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.
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impl TypePath for Affine2
where Affine2: Any + Send + Sync,

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fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous. Read more
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fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous. Read more
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fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous. Read more
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impl Typed for Affine2
where Affine2: Any + Send + Sync, Mat2: FromReflect + TypePath + RegisterForReflection, Vec2: FromReflect + TypePath + RegisterForReflection,

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fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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impl Zeroable for Affine2

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fn zeroed() -> Self

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impl AnyBitPattern for Affine2

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impl Copy for Affine2

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Gets the TypeId of self. Read more
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Return the T ShaderType for self. When used in AsBindGroup derives, it is safe to assume that all images in self exist.
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type Bits = T

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Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
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fn erased_serialize(&self, serializer: &mut dyn Serializer) -> Result<(), Error>

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fn do_erased_serialize( &self, serializer: &mut dyn Serializer, ) -> Result<(), ErrorImpl>

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> ToSample<U> for T
where U: FromSample<T>,

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fn to_sample_(self) -> U

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impl<T> ToSmolStr for T
where T: Display + ?Sized,

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fn to_smolstr(&self) -> SmolStr

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impl<T> ToString for T
where T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> TypeData for T
where T: 'static + Send + Sync + Clone,

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fn clone_type_data(&self) -> Box<dyn TypeData>

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impl<T> Upcast<T> for T

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fn upcast(&self) -> Option<&T>

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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more
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impl<T> ConditionalSend for T
where T: Send,

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<S, T> Duplex<S> for T
where T: FromSample<S> + ToSample<S>,

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impl<T> Settings for T
where T: 'static + Send + Sync,

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impl<T> WasmNotSend for T
where T: Send,

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impl<T> WasmNotSendSync for T
where T: WasmNotSend + WasmNotSync,

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impl<T> WasmNotSync for T
where T: Sync,